A Multiresolution Approach to Homogenization and Effective Modal Analysis of Complex Boundary Value Problems

DOI10.1137/S0036139997323693zbMath0954.34019MaRDI QIDQ4943928

Mark S. Mirotznik, Ben Zion Steinberg, John J. McCoy

Publication date: 19 March 2000

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

waveletssmoothingwave propagationhomogenizationmultiresolutioneffective propertiescomplex boundary value problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Averaging method for ordinary differential equations (34C29) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Homogenization in optics and electromagnetic theory (78M40)

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An iterative asymptotic expansion method for elliptic eigenvalue problems with oscillating coefficients ⋮ Simulation of a waveguide filter using wavelet-based numerical homogenization ⋮ Homogenization and effective properties formulations for propagation in finely structured laminates -- a multi-resolution approach.

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